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Finding the Third Proportional to 160,218 and 241,555

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Solution

The third proportional to 160,218 and 241,555 is: 364,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,218 : 241,555 = 241,555 : x
  2. Step 2: Convert to fraction form
    160,218/241,555 = 241,555/x
  3. Step 3: Cross multiply
    160,218x = 241,555 × 241,555
  4. Step 4: Simplify right side
    160,218x = 58,348,818,025
  5. Step 5: Solve for x
    x = 58,348,818,025/160,218
  6. Step 6: Final answer
    x = 364,183.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.